Using the Dirac Hamiltonian \(H=-i \gamma_{0} \gamma^{i} p_{i}+\gamma_{0} m\) given in (14.45), show that the chirality operator \(\gamma_{5}\) commutes with this Hamiltonian only if the mass \(m \rightarrow 0\).

Data from Eq. 14.45

Transcribed Image Text:

H= (a p+m) = -ia' p; + m = -iyoy'Pi + yom.